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math.NA2002★ 1 cited
New Developments in Interval Arithmetic and Their Implications for Floating-Point Standardization
M. H. van Emden
We consider the prospect of a processor that can perform interval arithmetic at the same speed as conventional floating-point arithmetic. This makes it possible for all arithmetic…
math.NA2002
On the Significance of Digits in Interval Notation
M. H. van Emden
To analyse the significance of the digits used for interval bounds, we clarify the philosophical presuppositions of various interval notations. We use information theory to determi…